Casimir repulsion between metallic objects in vacuum

Abstract

We give an example of a geometry in which two metallic objects in vacuum experience a repulsive Casimir force. The geometry consists of an elongated metal particle centered above a metal plate with a hole. We prove that this geometry has a repulsive regime using a symmetry argument and confirm it with numerical calculations for both perfect and realistic metals. The system does not support stable levitation, as the particle is unstable to displacements away from the symmetry axis.

4 pages, 4 figures; added references, replaced Fig. 3

References in corpus (4)

• Casimir-Lifshitz Theory and Metamaterials
• Quantum levitation by left-handed metamaterials
• Constraints on stable equilibria with fluctuation-induced forces
• Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders

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